Periodic orbit analysis for the deterministic path-preference traffic flow cellular automaton
Periodic orbit analysis for the deterministic path-preference traffic flow cellular automaton
复制标题
确定性路径偏好交通流元胞自动机的周期轨道分析
DOI：
10.1007/s13160-018-0328-6
复制
发表时间：
2019
影响因子：
0.9
通讯作者：
Y. Ohta and S. Ihara
中科院分区：
文献类型：
--
作者：
Y. Nakata;Y. Ohta and S. Ihara
路径偏好交通流元胞自动机的建议来模拟转录的动力学。与简单的交通流模型的主要区别在于，它包含了在某些站点的另一个优先路径。在本文中，我们提出了一个精确的分析，这个模型的最简单的版本。我们发现，粒子的密度是占主导地位的这种细胞自动机的动力学，并观察到，不仅有预期的相移，但也有几个间隙的密度增加。通过考虑周期轨道的行为，我们还确定了流中出现这种间隙的点和流的精确值。
The path-preference traffic flow cellular automaton is suggested to model the dynamics of transcription. The main difference from the simple traffic flow model is that it contains another preferential paths at some sites. In this paper, we propose an exact analysis for the simplest version of this model. We find that the density of particles is dominant to the dynamics of this cellular automaton and observed that there are not only expected phase shift but also several gaps as the density increases. By considering the behavior of periodic orbits, we also determine the point where such gaps in the flow appear and the exact value of the flow.